Manchester United manager Louis van Gaal has refused to rule out the possibility of signing goalkeeper Victor Valdes.
Manchester City boss Manuel Pellegrini says he is confident that England goalkeeper Joe Hart will sign a new contract.
The England Under-21 international went straight into the North End squad for their League One trip to Crawley on Tuesday night, but the game was later postponed due to a waterlogged pitch.
Rudd has played three cup games for the Canaries this season, including the shock weekend FA Cup defeat to non-league Luton.
Earlier this month, North End cancelled the contract of goalkeeper Steve Simonsen by mutual consent.